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Permanent groups

Permanent groups

A permanent group is a group of nonsingular matrices on which the permanent function is multiplicative. Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper A ring upper B"> <mml:semantics> <mml:mrow> <mml:mi>A</mml:mi> <mml:mo>∘<!-- ∘ --></mml:mo> <mml:mi>B</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">A \circ B</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote the Hadamard product of matrices <italic>A</italic> and <italic>B</italic>. …